I got the 1600 eggs in ~2 days from the beginning, I used the Resurrection system against most of the Egg Barons (who can (more or less) whipe your whole Team in one attack) when I got at least Chest before the Boss; and then I have decided to replay again and again the Epilogue who give a lot of Eggs (20-30 in each Chest, so if you are lucky you can get 100+ eggs per run). Now I have just to complete 2 more times the 3 Daily Quests.
Anyway that was too long and rather boring...